Solving Binomial Experiments

What does the n stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

What does the p stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successe

• Probability of Failure

What does q (1-p) stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Success

• Probability of Failure

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.

• Each trial must be classified as a success or a failure.

• All trials are dependent on each other.

• The number of successes in the trials is counted.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes.

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. Find the probability that a sample of 16 children would have fewer than 14 vaccinated.

• -1.34

• 1.34

• .0901

• .9099

Does the following describe a binomial experiment? If yes, identify n, p, q, and x.Cyanosis is the condition of having blueish skin due to insufficient oxygen in the blood. About 80% of babies born with cyanosis recover fully. A hospital is caring for five babies born with cyanosis. The random variable represents the babies that recover fully.

• no

• Yes. n=5, p=.8, q=.2, x= 0,1, 2, 3, 4, 5

• Yes. n=5, p=.8, q=.2, x= 1, 2, 3, 4, 5

Let n = 20, q = .6, Find the probability of 12 successes.

• 3.55%

• 35.55%

• 24%

• 12.90%